A data set includes data from student evaluations of courses. The summary statistics are n=97, x=3.66, s=0.63. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
A data set includes data from student evaluations of courses. The summary statistics are n=97, x=3.66, s=0.63. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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![A data set includes data from student evaluations of courses. The summary statistics are n= 97, x= 3.66, s= 0.63. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. Assume that a simple
random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
What are the null and alternative hypotheses?
О в. Но: и33.75
O A. Ho: H#3.75
Η: μ= 3.75
OC. Ho: H= 3.75
H1: µ<3.75
H: µ>3.75
O D. Ho: H=3.75
H: u23.75
Determine the test statistic.
(Round to two decimal places as needed.)
Determine the P-value.
(Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
v Ho. There is
v evidence to conclude that the mean of the population of student course evaluations is equal to 3.75
v correct.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23157fb6-2442-47a5-a201-c815d86cbc5c%2F488c0124-6a0b-4a64-ba66-d130768b83ee%2Fhup3kga_processed.png&w=3840&q=75)
Transcribed Image Text:A data set includes data from student evaluations of courses. The summary statistics are n= 97, x= 3.66, s= 0.63. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. Assume that a simple
random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
What are the null and alternative hypotheses?
О в. Но: и33.75
O A. Ho: H#3.75
Η: μ= 3.75
OC. Ho: H= 3.75
H1: µ<3.75
H: µ>3.75
O D. Ho: H=3.75
H: u23.75
Determine the test statistic.
(Round to two decimal places as needed.)
Determine the P-value.
(Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
v Ho. There is
v evidence to conclude that the mean of the population of student course evaluations is equal to 3.75
v correct.
Expert Solution
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Step 1
Given : n=97 , X-bar=3.66 , s=0.63 , μ0=3.75 , α=0.01
Since , the population standard deviation (σ) is unknown.
Therefore , use t-distribution.
The degrees of freedom is given by,
df=n-1=97-1=96
Our aim is to test the claim that the population of student course evaluation has a mean equal to 3.75
Here , we use one sample mean t-test.
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